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Finding the Fourth Proportional to 10,798.36, 16,187.82 and 3,868

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Solution

The fourth proportional to 10,798.36, 16,187.82 and 3,868 is: 5,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.36 : 16,187.82 = 3,868 : x
  2. Step 2: Convert to fraction form
    10,798.36/16,187.82 = 3,868/x
  3. Step 3: Cross multiply
    10,798.36x = 16,187.82 × 3,868
  4. Step 4: Simplify right side
    10,798.36x = 62,614,487.76
  5. Step 5: Solve for x
    x = 62,614,487.76/10,798.36
  6. Step 6: Final answer
    x = 5,798.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.